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Multiplication by 10, 100, 1000

We'll cover the multiplication of numbers by 10, 100, and 1000 in this article. Brief summary of the content:

  • First one Explanationhow multiplying numbers by 10, 100, 1000 and more works.
  • Quite a few Examples to make this clear to you, also with point numbers.
  • tasks / Exercises so that you can practice multiplication yourself.
  • Videos for multiplication for better understanding.
  • A Question and answer area with typical questions.

A quick note: If you still have problems with multiplication, I recommend that you first take a look at the following articles: Multiply / take times and times tables. Everyone else can continue right here.

Explanation of multiplication by 10, 100, 1000 etc.

Let's start with the explanations of multiplying a number by 10. This is basically very simple. Here a zero is simply added to the number and we have the result.

Multiplication by 10:

  • 5 · 10 = 50
  • 8 · 10 = 80
  • 12 · 10 = 120
  • 14 · 10 = 140
  • 17 · 10 = 170

Next, let's look at multiplying by 100. You take the original number and add two zeros to it for the result.

Multiplication by 100:

  • 5 · 100 = 500
  • 8 · 100 = 800
  • 12 · 100 = 1200
  • 14 · 100 = 1400

When multiplying by 1000, three zeros are appended.

Multiplication by 1000:

  • 5 · 1000 = 5000
  • 8 · 1000 = 8000
  • 12 · 1000 = 12000
  • 14 · 1000 = 14000

We summarize:

Note:

If we multiply a number by 10, 100, 1000 then the following applies:

  • When multiplied by 10, the number becomes a Appended zero.
  • When multiplied by 100, the number becomes two Zeros appended.
  • When multiplied by 1000, the number becomes three Zeros appended.
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Multiplication for decimal numbers

The next step is to multiply a number with a comma (decimal point) by 10, 100 or 1000. Here, too, we start the multiplication by 10. The decimal point in the result slides one place to the right.

Multiplication by 10:

  • 3,12 · 10 = 31,2
  • 6,52 · 10 = 65,2
  • 45,12 · 10 = 451,2
  • 78,99 · 10 = 789,9

Now point numbers are to be multiplied by 100. In the result, the comma slides two places to the right.

Multiplication by 100:

  • 3,12 · 100 = 312,0
  • 6,52 · 100 = 652,0
  • 45,12 · 100 = 4512,0
  • 78,99 · 100 = 7899,0

Now point numbers are to be multiplied by 1000. In the result, the comma slides three places to the right.

Multiplication by 1000:

  • 3,12 · 1000 = 3120,0
  • 6,52 · 1000 = 6520,0
  • 45,12 · 1000 = 45120,0
  • 78,99 · 1000 = 78990,0

Tasks / exercises multiplication

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Multiplication videos

Basics of multiplication

In this video we take a look at the basics of multiplication. It explains why multiplication is actually needed and some examples are calculated for a better understanding.


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Questions and answers about multiplying by 10, 100, 1000

In this section we look at typical questions with answers about multiplying by 10, 100, 1000, etc.

Q: How do I learn the subject of multiplication?

A: First of all, you can work through this article thoroughly and solve the tasks yourself. We also have further or similar topics for you on this topic, which you should also work on: multiplication tables, multiplying / taking times and also point before line.